73966132125 has 48 divisors (see below), whose sum is σ = 138274718400. Its totient is φ = 39448587600.

The previous prime is 73966132117. The next prime is 73966132199. The reversal of 73966132125 is 52123166937.

73966132125 is a `hidden beast` number, since 7 + 3 + 9 + 6 + 613 + 2 + 1 + 25 = 666.

It is not a de Polignac number, because 73966132125 - 2³ = 73966132117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1187175 + ... + 1247924.

It is an arithmetic number, because the mean of its divisors is an integer number (2880723300).

Almost surely, 2^73966132125 is an apocalyptic number.

73966132125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

73966132125 is a deficient number, since it is larger than the sum of its proper divisors (64308586275).

73966132125 is an equidigital number, since it uses as much as digits as its factorization.

73966132125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2435129 (or 2435107 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The spelling of 73966132125 in words is "seventy-three billion, nine hundred sixty-six million, one hundred thirty-two thousand, one hundred twenty-five".